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A041548 Numerators of continued fraction convergents to sqrt(292). 2
17, 188, 393, 581, 2136, 17669, 55143, 72812, 200767, 2281249, 77763233, 857676812, 1793116857, 2650793669, 9745497864, 80614776581, 251589827607, 332204604188, 915999035983, 10408194000001, 354794595036017, 3913148739396188, 8181092073828393 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,4562498,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -17*x^18 +188*x^17 -393*x^16 +581*x^15 -2136*x^14 +17669*x^13 -55143*x^12 +72812*x^11 -200767*x^10 -2281249*x^9 -200767*x^8 -72812*x^7 -55143*x^6 -17669*x^5 -2136*x^4 -581*x^3 -393*x^2 -188*x -17) / ((x^10 -2136*x^5 -1)*(x^10 +2136*x^5 -1)). - Colin Barker, Nov 22 2013

MATHEMATICA

Numerator[Convergents[Sqrt[292], 40]] (* Harvey P. Dale, Dec 20 2012 *)

CROSSREFS

Cf. A041549, A040274.

Sequence in context: A022741 A225966 A057614 * A025931 A115234 A197370

Adjacent sequences:  A041545 A041546 A041547 * A041549 A041550 A041551

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 22 2013

STATUS

approved

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Last modified October 15 15:14 EDT 2019. Contains 328030 sequences. (Running on oeis4.)